A.P. Morse’s Set Theory and Analysis

Inbunden, Engelska, 2022

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Beskrivning

Because Morse provided very little in the way of explanation in his written works, the editor’s commentary serves to outline Morse’s goals, give informal explanations of Morse’s formal language, and compare Morse’s often unique approaches to more traditional approaches.

Produktinformation

Utgivningsdatum:2022-08-25
Mått:210 x 279 x 35 mm
Vikt:1 552 g
Format:Inbunden
Språk:Engelska
Antal sidor:454
Förlag:Birkhauser Verlag AG
ISBN:9783031053542

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Mer om författaren

Robert A. Alps is a retired pension actuary living in Evanston, Illinois. His Ph. D. dissertation at Northwestern University dealt with Morse's formal language. He assisted Morse in the preparation of the second edition of A Theory of Sets (1986).

Innehållsförteckning

Preface.- Editor's Introduction.- Language and Inference.- Logic.- Set Theory.- Elementary Analysis.- Metrics.- Measure.- Linear Measure and Total Variation.- Integration.- Product Measures.- Web Derivatives.- Classical Differentiation.- The Construction of Definition.- The Consistency of the Axiom of Size.- Suggested Reading.- Publications of A.P. Morse.- Errata to A Theory of Sets, Second Edition.- Integration with Respect to Addor Functions.- The Henstock-Kurzweil Integral.